Lecture 9 - Scattering and tunneling for a delta
... Notice that if the sign of is reversed, i.e. we have a potential barrier instead of a well, the reflection and transmission coefficients are unchanged. Even if the potential is much larger than E there is a non-zero probability that the particle can cross the potential barrier. This is the effec ...
... Notice that if the sign of is reversed, i.e. we have a potential barrier instead of a well, the reflection and transmission coefficients are unchanged. Even if the potential is much larger than E there is a non-zero probability that the particle can cross the potential barrier. This is the effec ...
Dense Coding - School of Computing Science
... q?[z:Qbit] . {z,y *= CNot} . {z *= H} . Use(measure x,y) System(x:Qbit, y:Qbit, n:0..3) = (new q:^[Qbit])( Alice(x,q,n) | Bob(y,q) ) System is parameterized by x and y (and we must assume that ...
... q?[z:Qbit] . {z,y *= CNot} . {z *= H} . Use(measure x,y) System(x:Qbit, y:Qbit, n:0..3) = (new q:^[Qbit])( Alice(x,q,n) | Bob(y,q) ) System is parameterized by x and y (and we must assume that ...
Simple, accurate electrostatics-based formulas for calculating
... Above, Eq. (4b) is a simplification of the result of a power series expansion of Eq. (4a) taken through second order in /Rn . While these equations are classical in their overall form, the distance is quantum mechanical in its origin, as we have noted above. Thus, the addition of this finite distanc ...
... Above, Eq. (4b) is a simplification of the result of a power series expansion of Eq. (4a) taken through second order in /Rn . While these equations are classical in their overall form, the distance is quantum mechanical in its origin, as we have noted above. Thus, the addition of this finite distanc ...
Lagrange`s and Hamilton`s Equations
... We now apply the notion of the Legendre transform to the classical Lagrangian. In our previous developments, we have taken L to be a function of all the generalized coordinates and their respective time derivatives; i.e. L = L({qi }, {q̇i }, t). For generality, we have also included the possibility ...
... We now apply the notion of the Legendre transform to the classical Lagrangian. In our previous developments, we have taken L to be a function of all the generalized coordinates and their respective time derivatives; i.e. L = L({qi }, {q̇i }, t). For generality, we have also included the possibility ...
Probability in the Many-Worlds Interpretation of Quantum Mechanics
... pyes = 13 = ⟨PA ⟩. Now we can add to the MWI the locality and causality postulates. The MWI yields: There is nothing but the wave function. Locality provides: Outcomes of local experiments depend only on local values of the wave function. Causality of relativistic quantum theory yields: Any action i ...
... pyes = 13 = ⟨PA ⟩. Now we can add to the MWI the locality and causality postulates. The MWI yields: There is nothing but the wave function. Locality provides: Outcomes of local experiments depend only on local values of the wave function. Causality of relativistic quantum theory yields: Any action i ...
First-order strong-field QED processes in a tightly focused laser beam
... ξ0 = 1 corresponds to an optical (ω0 ∼ 1 eV) laser intensity of the order of 1018 W/cm2 , it is customary to consider the highly nonlinear regime where ξ0 1 (see Ref. [17] for a recent study where other interesting features in the regime ξ0 ∼ 1 also are investigated). The process of the emission o ...
... ξ0 = 1 corresponds to an optical (ω0 ∼ 1 eV) laser intensity of the order of 1018 W/cm2 , it is customary to consider the highly nonlinear regime where ξ0 1 (see Ref. [17] for a recent study where other interesting features in the regime ξ0 ∼ 1 also are investigated). The process of the emission o ...
Powerpoint 7/13
... concerned with constraints upon the computation of functions: which functions can be computed, how fast, and with use of how much memory. With quantum computers, as with classical stochastic computers, one must also ask ‘and with what probability?’ We have seen that the minimum computation time for ...
... concerned with constraints upon the computation of functions: which functions can be computed, how fast, and with use of how much memory. With quantum computers, as with classical stochastic computers, one must also ask ‘and with what probability?’ We have seen that the minimum computation time for ...
Inertia First
... mi is the observed mass of particle i m is some kind of mass-causing property of the particle G is the gravitational coupling constant Mx’s are other particles’ mass causing properties c is the local velocity of light constant Rx’s play the role of x The quantum constant k is replaced by measureabl ...
... mi is the observed mass of particle i m is some kind of mass-causing property of the particle G is the gravitational coupling constant Mx’s are other particles’ mass causing properties c is the local velocity of light constant Rx’s play the role of x The quantum constant k is replaced by measureabl ...
EJP_NewCurr_Kohnle - St Andrews Research Repository
... mechanics and can be useful to all instructors teaching this area. The resources focus on the introductory level and thus the needed prerequisite mathematics is limited. The curriculum introduces the basics of complex numbers, matrix multiplication and eigenvalue problems for two-dimensional systems ...
... mechanics and can be useful to all instructors teaching this area. The resources focus on the introductory level and thus the needed prerequisite mathematics is limited. The curriculum introduces the basics of complex numbers, matrix multiplication and eigenvalue problems for two-dimensional systems ...